13800601812024 has 96 divisors (see below), whose sum is σ = 37550020622400. Its totient is φ = 4578877658880.

The previous prime is 13800601812017. The next prime is 13800601812079. The reversal of 13800601812024 is 42021810600831.

13800601812024 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 0 + 601 + 8 + 1 + 20 + 24 = 666.

It is a super-2 number, since 2×13800601812024² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13800601812024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38038422 + ... + 38399514.

It is an arithmetic number, because the mean of its divisors is an integer number (391146048150).

Almost surely, 2^{13800601812024} is an apocalyptic number.

It is an amenable number.

13800601812024 is an abundant number, since it is smaller than the sum of its proper divisors (23749418810376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13800601812024 is a wasteful number, since it uses less digits than its factorization.

13800601812024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363565 (or 363558 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 13800601812024 in words is "thirteen trillion, eight hundred billion, six hundred one million, eight hundred twelve thousand, twenty-four".